Back to resources
Guide6 min read · Oct 29, 2026

Profile with unequal zones: U and UZ, the material side and the plot

A surface profile of 0.6 Ⓤ 0.4 is not a ±0.3 zone. How ASME's U modifier and ISO's UZ offset are evaluated on a scan, why the sign must come from the material side of the CAD body, and what the profile plot shows.

Surface profile plot with an offset zone (ISO UZ) — signed deviation map, zone diagram and histogram
A profile plot with an offset (UZ) zone: signed deviation map, zone diagram and histogram.

Three ways to write the same tolerance width

A bilateral profile of 0.6 allows ±0.3 around the nominal surface. ASME Y14.5's Ⓤ modifier shifts the zone: 0.6 Ⓤ 0.4 allows +0.4 outside the material and −0.2 inside. ISO 1101's UZ offset moves the centre of the zone instead: 0.6 UZ +0.1 allows +0.4 / −0.2 as well, written differently. All three are 0.6 wide; they differ in where the width sits, and a scan evaluation has to place it exactly.

Ai-Inspect has one function that turns (total, mode, value) into an upper and a lower bound, and every consumer — the GD&T dialog, the Section Profile wizard, the table, the report and the plot — reads the bounds from it. The measured value reported is twice the larger distance from the zone centre to the farthest point, so measured ≤ total is exactly PASS and the report does not re-judge.

  • Bilateral: upper = +t/2, lower = −t/2
  • ASME Ⓤ v: upper = +v, lower = −(t − v)
  • ISO UZ v: upper = t/2 + v, lower = −(t/2 − v)

The sign is the material side

Unequal zones only make sense when + and − mean something physical: + is outside the material (excess), − is inside (missing). A scanned point's sign therefore cannot come from the orientation of the nearest triangle of the CAD tessellation; triangle winding is an export artefact. It is proven by asking the CAD solid whether a point just off the surface is inside or outside the body.

On a closed CAD mesh that is a direct test. Real STEP tessellations are often nearly closed — a handful of open edges out of tens of thousands — and on those the engine runs the inside test anyway and proves it twice: a self-consistency check with ± probe pairs, and a B-rep classifier on probe points held away from the surface by half a millimetre, never on the measured points themselves, because a 0.03 mm deviation sits inside the chord error of the tessellation. When the two disagree the profile is refused and Bilateral is suggested; an open mesh is refused outright.

Surface profile plot with an unequally disposed zone (ASME U) — signed deviation map, zone diagram and histogram
The same surface with an ASME Ⓤ zone: the zone diagram shows the upper and lower bounds and where the measured spread sits.

What the plot shows

Every profile result carries a plot drawn from the same numbers as the table row: a signed deviation map on the plane fitted to the measured points, a zone diagram with the upper and lower bounds and the measured band, and a histogram of the deviations. The plot never evaluates anything on its own — change the tolerance and it is redrawn from the stored data — and it opens from the GD&T table or is placed in the PDF under "Form & Profile Plots".

The same mechanism draws a roundness plot: a polar trace with the deviation magnified, the LSC, MZC, MIC and MCC circles and the min / max points, so a roundness value can be read against the fit that produced it.

Roundness plot — polar trace with the deviation magnified, LSC / MZC / MIC / MCC circles and the min / max points
A roundness plot: polar trace with exaggerated deviation, reference circles and the extreme points.

Profile in a datum reference frame

A profile callout with datums is evaluated in the datum reference frame, and that frame is the same one used for position and for coordinate rows: one function builds it from the measured datums, exactly as a CMM program would. A profile whose datum could not be established is refused with the reason instead of being evaluated in the alignment frame.

On cross sections, the Section Profile wizard offers the same Bilateral / Ⓤ / UZ selector per requirement; the material side on a section is taken by point-in-polygon on the nominal loop, not from the direction the polyline happens to run.

Questions this article answers

Numerically yes — +0.3 / −0.3 — but the report shows it as an unequally disposed zone with the value you entered, and the sign is still taken from the material side so the two halves are physically meaningful.

The CAD mesh could not prove the material side at the measured points: either it is an open surface, or the two independent checks on a nearly-closed mesh disagreed. Bilateral does not need the sign and evaluates normally.

No. The plot is drawn from the stored result; it is redrawn when the tolerance changes but it never recomputes the measurement.

See it on your own parts

Bring a drawing, a CAD model and a scan — we will run the inspection with you in a guided demo.

Request a demo